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Finding the Fourth Proportional to 17,685.90, 24,406.50 and 10,132.26

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Solution

The fourth proportional to 17,685.90, 24,406.50 and 10,132.26 is: 13,982.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,685.90 : 24,406.50 = 10,132.26 : x
  2. Step 2: Convert to fraction form
    17,685.90/24,406.50 = 10,132.26/x
  3. Step 3: Cross multiply
    17,685.90x = 24,406.50 × 10,132.26
  4. Step 4: Simplify right side
    17,685.90x = 247,293,003.69
  5. Step 5: Solve for x
    x = 247,293,003.69/17,685.90
  6. Step 6: Final answer
    x = 13,982.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.